\newproblem{lay:4_4_9}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 4.4.9}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Find the change-of-coordinates matrix from the basis $B=\{(1,-3),(2,-5)\}$ to the standard basis of $\mathbb{R}^2$.
}{
  % Solution
	The matrix sought is the one whose columns are the vectors in the basis $B$
	\begin{center}
		$P_{E\leftarrow B}=\begin{pmatrix}1 & 2 \\ -3 & -5\end{pmatrix}$
	\end{center}
}
\useproblem{lay:4_4_9}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
